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Induced and Produced Modules

Published online by Cambridge University Press:  20 November 2018

D. G. Higman
D. G. Higman*
Affiliation:
Montana State University
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We shall consider here two generalizations to rings of the concept of induced representation as it occurs in the representation theory of finite groups (6).

If A is a ring, S a subring of A, we shall associate with each S-module M an induced pair (I(M), K) consisting of an A -modulo I(M) and an S-homomorphism K: M → I(M).

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 7 , 1955 , pp. 490 - 508
Copyright
Copyright © Canadian Mathematical Society 1955

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